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Finding the Third Proportional to 77,278 and 164,763

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Solution

The third proportional to 77,278 and 164,763 is: 351,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278 : 164,763 = 164,763 : x
  2. Step 2: Convert to fraction form
    77,278/164,763 = 164,763/x
  3. Step 3: Cross multiply
    77,278x = 164,763 × 164,763
  4. Step 4: Simplify right side
    77,278x = 27,146,846,169
  5. Step 5: Solve for x
    x = 27,146,846,169/77,278
  6. Step 6: Final answer
    x = 351,288.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.